Graph Using a Table of Values -2y+4x=16

$- 2 y + 4 x = 16$

Step 1

Substitute $- 2$ for $x$ and find the result for $y$ .

$- 2 y + 4 (- 2) = 16$

Step 2

Solve the equation for $y$ .

Multiply $4$ by $- 2$ .

$- 2 y - 8 = 16$

Move all terms not containing $y$ to the right side of the equation.

Add $8$ to both sides of the equation.

$- 2 y = 16 + 8$

Add $16$ and $8$ .

$- 2 y = 24$

Divide each term in $- 2 y = 24$ by $- 2$ and simplify.

Divide each term in $- 2 y = 24$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{24}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{24}{- 2}$

Divide $y$ by $1$ .

$y = \frac{24}{- 2}$

Simplify the right side.

Divide $24$ by $- 2$ .

$y = - 12$

Step 3

Substitute $- 1$ for $x$ and find the result for $y$ .

$- 2 y + 4 (- 1) = 16$

Step 4

Solve the equation for $y$ .

Multiply $4$ by $- 1$ .

$- 2 y - 4 = 16$

Move all terms not containing $y$ to the right side of the equation.

Add $4$ to both sides of the equation.

$- 2 y = 16 + 4$

Add $16$ and $4$ .

$- 2 y = 20$

Divide each term in $- 2 y = 20$ by $- 2$ and simplify.

Divide each term in $- 2 y = 20$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{20}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{20}{- 2}$

Divide $y$ by $1$ .

$y = \frac{20}{- 2}$

Simplify the right side.

Divide $20$ by $- 2$ .

$y = - 10$

Step 5

Substitute $0$ for $x$ and find the result for $y$ .

$- 2 y + 4 (0) = 16$

Step 6

Solve the equation for $y$ .

Simplify $- 2 y + 4 (0)$ .

Multiply $4$ by $0$ .

$- 2 y + 0 = 16$

Add $- 2 y$ and $0$ .

$- 2 y = 16$

Divide each term in $- 2 y = 16$ by $- 2$ and simplify.

Divide each term in $- 2 y = 16$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{16}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{16}{- 2}$

Divide $y$ by $1$ .

$y = \frac{16}{- 2}$

Simplify the right side.

Divide $16$ by $- 2$ .

$y = - 8$

Step 7

Substitute $1$ for $x$ and find the result for $y$ .

$- 2 y + 4 (1) = 16$

Step 8

Solve the equation for $y$ .

Multiply $4$ by $1$ .

$- 2 y + 4 = 16$

Move all terms not containing $y$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

$- 2 y = 16 - 4$

Subtract $4$ from $16$ .

$- 2 y = 12$

Divide each term in $- 2 y = 12$ by $- 2$ and simplify.

Divide each term in $- 2 y = 12$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{12}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{12}{- 2}$

Divide $y$ by $1$ .

$y = \frac{12}{- 2}$

Simplify the right side.

Divide $12$ by $- 2$ .

$y = - 6$

Step 9

Substitute $2$ for $x$ and find the result for $y$ .

$- 2 y + 4 (2) = 16$

Step 10

Solve the equation for $y$ .

Multiply $4$ by $2$ .

$- 2 y + 8 = 16$

Move all terms not containing $y$ to the right side of the equation.

Subtract $8$ from both sides of the equation.

$- 2 y = 16 - 8$

Subtract $8$ from $16$ .

$- 2 y = 8$

Divide each term in $- 2 y = 8$ by $- 2$ and simplify.

Divide each term in $- 2 y = 8$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{8}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{8}{- 2}$

Divide $y$ by $1$ .

$y = \frac{8}{- 2}$

Simplify the right side.

Divide $8$ by $- 2$ .

$y = - 4$

Step 11

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & - 12 \\ - 1 & - 10 \\ 0 & - 8 \\ 1 & - 6 \\ 2 & - 4 \end{array}$

Step 12

Graph Using a Table of Values -2y+4x=16

Related Questions

Support LCMGCF.com by disabling your adblocker.